A139920 Primes of the form 19x^2+18xy+19y^2.

19, 59, 131, 139, 251, 419, 619, 691, 811, 859, 971, 1091, 1259, 1291, 1459, 1531, 1571, 1699, 1811, 1931, 1979, 2099, 2131, 2371, 2411, 2539, 2579, 2659, 2819, 2939, 2971, 3251, 3331, 3491, 3499, 3659, 3779, 4051, 4091, 4219, 4259, 4339

Offset

1,1

Comments

Discriminant=-1120. See A139827 for more information.

Links

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Formula

The primes are congruent to {19, 59, 131, 139, 171, 251} (mod 280).

Mathematica

Union[QuadPrimes2[19, 18, 19, 10000], QuadPrimes2[19, -18, 19, 10000]] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [19, 59, 131, 139, 171, 251]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A250024 A031375 A146351 * A182475 A142190 A236462

Adjacent sequences: A139917 A139918 A139919 * A139921 A139922 A139923

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved